Quantum Confined Scattering beyond the s-Wave Approximation(Quantum Mechanics and Chaos)
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概要
- 論文の詳細を見る
A dual confinement induced resonance effect first observed numerically in a paper [J. I. Kim, V. S. Melezhik and P. Schmelcher, Phys. Rev. Lett. 97 (2006), 193203] predicts the possibility of suppressing the effective two-body interaction in a quasi-one dimensional (1D) cylindrical geometry. Here this low dimensionality effect is analytically modeled by applying a previous formalism to treat low energy quantum scattering processes under tight confinement [J. I. Kim, J. Schmiedmayer and P. Schmelcher, Phys. Rev. A 72 (2005), 042711]. This analytic formalism is improved in order to account non-perturbatively for the three dimensional (3D) scattering phase shift l=1 for a given spherically symmetric interaction potential between distinguishable colliding particles. The role of the confinement on the scattering properties can then be systematically calculated up to the p-wave.
- 理論物理学刊行会の論文
- 2007-05-31
著者
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Melezhik V.
Bogoliubov Laboratory Of Theoretical Physics Joint Institute For Nuclear Research
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Kim J.
Departamento De Ciencias Exatas E Da Terra Universidade Federal De Sao Paulo
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SCHMELCHER P.
Physikalisches Institut, Universitat Heidelberg
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Schmelcher P.
Physikalisches Institut Universitat Heidelberg:theoretische Chemie Institut Fur Physikalische Chemie
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KIM J.
Departamento de Ciencias Exatas e da Terra, Universidade Federal de Sao Paulo
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MELEZHIK V.
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
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Schmelcher P.
Physikalisches Institut, Universitat Heidelberg:Theoretische Chemie, Institut fur Physikalische Chemie, Universitat Heidelberg
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